On the gcd's of \(k\) consecutive terms of Lucas sequences
type: Item
instance of: scholarly article
title: On the gcd's of \(k\) consecutive terms of Lucas sequences
zbMATH Open document ID: 1280.11058
published in: Journal of Number Theory
publication date: 2012-10-22T00:00:00Z
Mathematics Subject Classification ID: 11N69
Mathematics Subject Classification ID: 11B37
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 6097280
zbMATH Keywords: Lucas sequences
zbMATH Keywords: greatest common divisor
zbMATH Keywords: divisibility sequences
zbMATH Keywords: Pillai's problem
author: Lajos Hajdu
author: M. Szikszai
MaRDI profile type: Publication
full work available at URL: j.jnt.2012.05.022
OpenAlex ID: W2000740570
cites work: On numbers \(n\) dividing the \(n\)th term of a linear recurrence
cites work: On the multiplicity of linear recurrence sequences
cites work: On the zeros of linear recurrence sequences
cites work: Q4179062
cites work: Q3204540
cites work: Q3324033
cites work: A Full Characterisation of Divisibility Sequences
cites work: Existence of primitive divisors of Lucas and Lehmer numbers (with an appendix by M. Mignotte)
cites work: On a property of 𝑘 consecutive integers
cites work: Lucas sequences whose 12th or 9th term is a square
cites work: On squares in Lucas sequences
cites work: Lucas sequences whose nth term is a square or an almost square
cites work: Q3837785
cites work: Multiplicities of binary recurrences
cites work: On a division property of consecutive integers
cites work: A binary linear recurrence sequence of composite numbers
cites work: The product of consecutive integers is never a power
cites work: A Fibonacci-Like Sequence of Composite Numbers
cites work: Unsolved problems in number theory
cites work: Q3990645
cites work: The Divisibility of an – bn by Powers of n
cites work: On a problem of Pillai and its generalizations
cites work: Q5187340
cites work: Q4327097
cites work: On a conjecture of Morgan Ward, I
cites work: On a conjecture of Morgan Ward, II
cites work: A note on recurring series
cites work: Diophantine equations with products of consecutive terms in Lucas sequences
cites work: Diophantine equations with products of consecutive terms in Lucas sequences II
cites work: Products of members of Lucas sequences with indices in an interval being a power
cites work: Squares in Lehmer sequences and some Diophantine applications
cites work: Q3358797
cites work: On relative prime number in a sequence of positive integers
cites work: Q5776927
cites work: Q3117617
cites work: Q3784212
cites work: Q4946818
cites work: Q3744223
cites work: The terms in Lucas sequences divisible by their indices
DOI: 10.1016/J.JNT.2012.05.022
description: scientific article; zbMATH DE number 6097280